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Integrability of Hamiltonian systems and the Lamé equation
Institution:Institute of Physics, University of Zielona Góra, Podgórna 50, 65- 246 Zielona Góra, Poland
Abstract:We study the integrability of Hamiltonian systems with two degrees of freedom. We investigate the normal variational equations and obtain a necessary condition for integrability of these systems. As an application we study the integrability of the Hénon–Heiles system, whose normal variational equation is of Lamé type.
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